Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-10T16:03:20.699893Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2607.07884.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-10T16:03:20.699893Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 8a687248-9d56-477f-9000-e36bf26ed1e4 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Neural networks and principal component analysis: Learning from examples without local minima.Neural Networks, 2(1):53–58
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cd8e9f22-3e4a-41a6-b4d8-2973b66b3033 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Gen , volume=
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation da70ab83-7e20-47ce-87a7-ba88138088a3 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of the Thirteenth International Conference on Artificial Intelligence and Statistics , pages =
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4cabddbe-cf2d-404f-8b71-030109a7906b · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks International Conference on Learning Representations , year=
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a55e118c-4e7c-489e-9e67-ca0ce54ca940 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Exponential expressivity in deep neural networks through transient chaos , url =
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3023b154-5238-488e-9399-925e4cb6a0c7 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks International Conference on Learning Representations , year=
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 930da198-b5d1-4d9a-ba3d-1e1d45a8b20b · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Zico Kolter , booktitle =
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f1a9f19c-89ea-47ae-a274-c3d03a3be811 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Stable architectures for deep neural networks
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d701b219-cb76-4ed4-b3e3-de792b432e17 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 368a6c83-d58d-40e4-92e6-45324465ea90 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks International Conference on Learning Representations , year=
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 215594c1-c043-4858-a838-839edcf6f5e8 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Dynamical Isometry and a Mean Field Theory of
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 687a7327-11a1-4804-8bfb-5b65337e3963 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Zico and Koltun, Vladlen , booktitle =
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation caf47eda-729a-4b56-a7bb-5bf20b8402a5 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Mathematics , VOLUME =
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5364c6ae-9596-4256-a392-cbd56ab974b0 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Saxe and James L
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 542b995e-ea7c-4f8a-9e8c-f410dc5b14bb · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of the Thirty-Second Conference on Learning Theory , pages =
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5d1c52f6-8eaf-4568-a70e-bcd096aa43cb · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Implicit Regularization of Discrete Gradient Dynamics in Linear Neural Networks , url =
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 62db237f-7d76-4f55-9e29-45aa6fe2f193 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks International Conference on Learning Representations , year=
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0f7e6eb4-8e16-4465-b038-60675834985f · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks 2020 , eprint=
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2c768d4c-b83b-4417-a873-a3eb4d611d19 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks An empirical analysis of compute-optimal large language model training , url =
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0808331a-0776-4776-b6c9-4c6bb6f3d52e · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Advani and Andrew M
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cdb7c0e7-f654-4cc6-9b6b-0e2940bf317a · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of the 38th International Conference on Machine Learning , pages =
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 118a5d4a-ad92-4b95-bb86-2f29327de38e · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Exact learning dynamics of deep linear networks with prior knowledge , url =
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c78c5037-e4ee-49f4-915d-11f55c8e7f59 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks International Conference on Learning Representations , year=
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bbd5238b-a552-47a0-aa00-e406fd7b7fa7 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of the 35th International Conference on Machine Learning , pages =
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1770b131-9be9-4037-8c7f-184194bf71b3 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks International Conference on Learning Representations , year=
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9f6c0a02-482d-4969-90d5-70a52e8dfbd8 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Algorithmic Regularization in Learning Deep Homogeneous Models: Layers are Automatically Balanced , url =
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 630c31d4-2604-46c5-94c3-c55aaf8d83fc · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Neural Tangent Kernel: Convergence and Generalization in Neural Networks , url =
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 51dc76ee-d3e1-4251-866c-e713a86707a3 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Learning dynamics of deep linear networks with multiple pathways , url =
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f2cefb4a-00a7-4c9b-aeef-3e75caf8eaeb · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks International Conference on Learning Representations , year=
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation dab66938-3f60-44a3-980b-ea98c1c28db6 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks On Lazy Training in Differentiable Programming , url =
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1c3d7d0b-8a43-4c0e-8dff-0344efb8a3d6 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of Thirty Third Conference on Learning Theory , pages =
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4c3c4fcd-d375-4153-9275-14ce1849f4c7 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of the 37th International Conference on Machine Learning , pages =
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 30a82447-6799-47ae-b1a5-dddadb43daf8 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Saddle-to-Saddle Dynamics in Deep Linear Networks: Small Initialization Training, Symmetry, and Sparsity
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4a64eb52-b03e-4b8a-9c94-e9858b371e5f · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks The Shaped Transformer: Attention Models in the Infinite Depth-and-Width Limit , url =
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c8af1a34-01bf-4dca-b7fd-1f047e3c2486 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Journal of Machine Learning Research , year =
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 80506e23-a505-4263-b3f2-3156c69913d3 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks The Eleventh International Conference on Learning Representations , year=
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 24837d75-761d-4b7a-aa8e-adf4ebe0b17a · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Saddle-to-Saddle Dynamics in Diagonal Linear Networks , url =
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b2b9b646-b713-4f02-85f9-f1491fb2255c · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of the 40th International Conference on Machine Learning , pages =
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cb90fa70-3ad6-45dc-905a-4937f474621d · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Transactions on Machine Learning Research , issn=
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 04b7367e-3059-4e64-8e16-34d22b0b6b89 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks 2023 , eprint=
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 44cbecbe-89e3-4a3e-a588-7c192c8a9c6f · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of the 41st International Conference on Machine Learning , pages =
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 854a339b-c844-483d-8450-4c90eb41986a · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks The Fourteenth International Conference on Learning Representations , year=
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e5382b50-e944-481b-9f89-8e648a2537b3 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Scaling ResNets in the Large-depth Regime , journal =
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8be7c1d1-ac8c-43a6-b313-1d83b08f127e · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks doi: 10.52202/079017-1130
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bfada41c-7cc8-47ae-af52-c37df463f788 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks The Twelfth International Conference on Learning Representations , year=
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0c2dcf6f-b129-4f30-bff3-be58607137a6 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Super Consistency of Neural Network Landscapes and Learning Rate Transfer , url =
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b6636d3b-b8b5-4da3-92b4-879f77d677eb · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of the 41st International Conference on Machine Learning , pages =
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bb609da8-58b9-4e95-b3c1-f6fab75a7a34 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Tensor Programs
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 964467f7-6524-4f2d-bd4b-506086066732 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks The Thirteenth International Conference on Learning Representations , year=
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 625120dd-4aa9-4ff5-bb31-0b5ddab44eba · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks The Thirteenth International Conference on Learning Representations , year=
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bfeb656e-49dc-4958-ac4e-3d5d0ad6f6ec · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks The Thirteenth International Conference on Learning Representations , year=
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 86c5296c-e948-4b2d-8ea9-14071eb25c66 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks Proceedings of the 42nd International Conference on Machine Learning , pages =
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1cff7f7d-b18d-4d5d-93ee-c4d68a0c0e0c · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks The Thirty-ninth Annual Conference on Neural Information Processing Systems , year=
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e8cd5fa3-3c66-4e92-9a32-0a27643bdc73 · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks 2025 , eprint=
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d08d0956-90bd-4334-accb-62310e375adf · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks 2025 , eprint=
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9f486c21-df81-4f6f-8993-cd06ac6ae73b · outbound
Optimal Learning Rate Scaling Depends on Data in Deep Scalar Linear Networks 2026 , eprint=
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
No inbound Pith citation observations are available.